Reidemeister Moves
In the 1930s, Reidemeister first rigorously proved that Knots exist which aredistinct from the Unknot. He did this by showing that all Knot deformations can be reduced to a sequence ofthree types of ``moves,'' called the (I) Twist Move, (II) Poke Move, and (III) Slide Move.
Reidemeister's Theorem guarantees that moves I, II, and III correspond to Ambient Isotopy (moves II and IIIalone correspond to Regular Isotopy). He then defined the concept of Colorability, which isinvariant under Reidemeister moves.
See also Ambient Isotopy, Colorable, Markov Moves, Regular Isotopy, Unknot- Elliptic Integral of the Third Kind
- Elliptic Integral Singular Value
- Elliptic Integral Singular Value k1
- Elliptic Integral Singular Value k2
- Elliptic Integral Singular Value k3
- Ellipticity
- Elliptic Lambda Function
- Elliptic Logarithm
- Elliptic Modular Function
- Elliptic Paraboloid
- Elliptic Partial Differential Equation
- Elliptic Plane
- Elliptic Point
- Elliptic Pseudoprime
- Elliptic Rotation
- Elliptic Theta Function
- Elliptic Torus
- Elliptic Umbilic Catastrophe
- Ellison-Mendès-France Constant
- Elongated Cupola
- Elongated Dipyramid
- Elongated Dodecahedron
- Elongated Gyrobicupola
- Elongated Gyrocupolarotunda
- Elongated Orthobicupola